Curriculum Framework: Math/Problem Solving

SUPPORT SKILLS

Number/Number Sense

Kindergarten: The student will identify and use numbers and objects to investigate number sense.
-identify and use whole numbers 0 to 10
-count to 10 using real objects, point to objects, and count out loud in correct sequence
-recognize numbers 0 to 10
-place numbers in order 1 to 10
-match a quantity of objects with its corresponding numeral 0 to 10
-read and practice writing numbers 1 to 10
-count orally to 20
-explore the concept of ordinality (first, second, ...)
-use sets of objects to construct the concept of each number 1 to 10
-identify equal and not equal sets of objects
-communicate the mathematical reasoning behind solutions

Algebra/Patterns

Kindergarten: The student will manipulate objects to investigate patterns.
-repeat patterns through the use of motor skills, everyday objects, and manipulatives
-read simple repeating patterns (up, down; up, down)
-reproduce and/or create a simple pattern
-describe the changes that occur in a simple pattern
-notice and describe simple patterns in graphs
-solve simple problems using the information found in patterns
-combine groups of like objects into a whole and identify the quantity in the parts and the whole; e. g., orally identify that three apples and two apples together are five apples
-communicate the mathematical reasoning behind solutions

Data/Probability

Kindergarten: The student collect and display data.
-collect data from self, classroom, and other real situations
-use real objects and pictures to make graphs that show comparisons
-answer questions about simple data displayed on a class constructed graph
-investigate and discuss the regularity of daily events (days of the week, daily schedules, patterns in nature, and seasons of the year)
-communicate the mathematical reasoning behind solutions

Geometry

Kindergarten: The student will identify basic shapes.
-identify circle, triangle, rectangle, and square
-identify solids found in the environment using common vocabulary (cans, boxes, balls, etc.)
-identify common geometric shapes found in the environment (circle, triangle, rectangle, and square)
-sort geometric shapes and solids in various ways
-build geometric shapes and structures
-explore spatial sense through experiencing positional (between, under) and directional (left, right, top, bottom) situations
-use vocabulary to describe relative position (between, under, left, right, top, bottom)
-identify examples of symmetry in the environment
-assemble puzzles
-construct pictures using geometric shapes
-build structures with a variety of geometric solids (blocks, boxes, cans, cones, etc.)
-communicate the mathematical reasoning behind solutions

Measurement

Kindergarten: The student will manipulate a variety of measurement tools.
-use appropriate vocabulary to describe the size and shape of a variety of common objects (larger, smaller, taller, shorter)
-compare lengths using real objects
-put objects of various sizes in order from largest to smallest and smallest to largest
-compare the approximate weight of objects (heavier or lighter)
-put objects of various weights in order from heaviest to lightest and lightest to heaviest
-balance objects that are alike and unlike on a balance scale
-compare the capacities of different containers
-use appropriate vocabulary (hot, warm, cool, cold) to compare and contrast temperature in real situations
-use concept of time (seasons, day/night, sleep/awake, daily sequence of breakfast/lunch/dinner)
-discuss estimates of the length/duration of time it takes to complete common tasks
-name and explore the physical characteristics of pennies, nickels, and dimes
-communicate the mathematical reasoning behind solutions

Computation

Kindergarten: The student will model appropriate whole number operations with manipulatives.
-join and separate sets with up to ten objects using story situations and concrete objects
-use estimation vocabulary to describe approximate quantities (about, almost, close to)
-communicate the mathematical reasoning behind solutions